Home
Class 12
MATHS
Let [x] = the greatest integer less than...

Let [x] = the greatest integer less than or equal to x and let `f (x) = sin x + cosx.` Then the most general solution of `f(x)=[f(pi/10)]` is

Text Solution

Verified by Experts

The correct Answer is:
`x = 2n pi + (pi)/(2), 2 n pi`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise EXAMPLES ( Matching Type Questions )|1 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise EXAMPLES ( Subjective Type Examples )|2 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Three Dimensional Coordinate System Exercise 12 : Question Asked in Previous Years Exam|2 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

If [x] dnote the greatest integer less than or equal to x then the equation sin x=[1+sin x ]+[1-cos x ][ has no solution in

If f(x)=x-[x], where [x] is the greatest integer less than or equal to x, then f(+1/2) is:

Let [x] denote the greatest integer less that or equal to x. If f(x) = [x sin pi x] , then f(x) is (a) Continuous at x = 0 (b) Continuous in (-1, 0) (c) Differentiable at x = 1 (d) Differentiable in (-1, 1)

Let f(x) = [ n + p sin x], x in (0,pi), n in Z , p is a prime number and [x] = the greatest integer less than or equal to x. The number of points at which f(x) is not not differentiable is :

Let f(x) = sin^(-1) x + cos^(-1) x ". Then " pi/2 is equal to

Let [] donots the greatest integer function and f (x)= [tan ^(2) x], then

If f(x)=e^([cotx]) , where [y] represents the greatest integer less than or equal to y then

For any real number x , let [x] denote the largest integer less than or equal to x , Let f be a real-valued function defined on the interval [-10 , 10] be f(x)={x-[x], if [x] is odd, 1+[x]-x ,if[x] is even Then the value of (pi^2)/(10)int_(-10)^(10)f(x)cospixdx is____

If f(x)={("sin"[x])/([x]) ,for [x]!=0, 0 ,for[x]=0,where [x] denotes the greatest integer less than or equal to x , then lim_(x→0)f(x) is (a) 1 (b) 0 (c) -1 (d) none of these

f(x)= 1/sqrt([x]-x) , where [*] denotes the greatest integeral function less than or equals to x. Then, find the domain of f(x).